Certificate for #8617 ⟨a, b | aa=a, abbbba=b⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aa=a.

Defines rule #1.

Referenced by [3], [4].

Axiom: abbbba=b.

Referenced by [3], [4], [5].

Overlap of [1] aa=a with [2] abbbba=b:

Critical pair: ab=abbbba.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] abbbba=b with [1] aa=a:

Critical pair: abbbba=ba.

Reduce LHS:

Referenced by [5], [6].

Overlap of [2] abbbba=b with [3] ab=b:

Critical pair: bbbba=b.

Reduce LHS:

Defines rule #3.

Referenced by [6].

Simplify [4] bbbba=ba.

Reduce LHS:

Reduce RHS:

Defines rule #4.